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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

5. Graphing Linear Equations in Standard Form

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Exercise 8 Page 169

Can you write the equation in standard form?

Standard Form: - 16x+y=- 5

Practice makes perfect

To determine if the given equation is in standard form or if we need to rewrite it, let's first recall what the equations in standard form look like. Ax+ By= CIn this form, A, B, and C are constants and either A or B must be nonzero.

y-1/6x+5=0

LHS-5=RHS-5

y-1/6x+5-5=0-5

Subtract terms

y-1/6x=-5

CommutativePropAdd

Commutative Property of Addition

-1/6x+y=-5

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. -1/6x+y=-5 ⇔ -1/6x+ 1y= -5 When written this way, we can see that A= - 16, B= 1, and C= -5.

Subchapter links

Try It p.168-169

Self-Assessment for Concepts & Skills p.169

Self-Assessment for Problem Solving p.170

Review & Refresh p.171

Concepts, Skills, & Problem Solving p.171-172